Lie algebras | Representation theory

Borel subalgebra

In mathematics, specifically in representation theory, a Borel subalgebra of a Lie algebra is a maximal solvable subalgebra. The notion is named after Armand Borel. If the Lie algebra is the Lie algebra of a complex Lie group, then a Borel subalgebra is the Lie algebra of a Borel subgroup. (Wikipedia).

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Related pages

Solvable Lie algebra | Borel subgroup | Lie's theorem | Representation theory | Parabolic Lie algebra | Root system | Flag (linear algebra) | Cartan subalgebra | Lie algebra | Semisimple Lie algebra | Armand Borel | Complex Lie group